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DLL 05: Slender beam – cantilever – tapered section – eigenfrequencies

DLL 05: Slender beam – cantilever – tapered section – eigenfrequencies

Description

Material		Modulus of elasticity	$E=200 000 N/mm^2$
Material		Density	$\rho=7850 kg/m^3$
Geometry	Cross-section	In point A	$b = h = 40 mm$
		In point B	$b = h = 10 mm$
	Boundary conditions	In point A	Fixed support
		Along line AB	$R_z, M_x$ and $M_y$ fixed to impose 2D behaviour
Mesh		No. of divisions	10

Results

Eigen mode	Shape	Independent reference	Diamonds	Difference
1		54,18Hz	53,97Hz	-0,39%
2		171,94Hz	171,18Hz	-0,44%
3		384,40Hz	382,67Hz	-0,45%
4		697,24Hz	693,99Hz	-0,47%
5		1112,28Hz	1106,94Hz	-0,48%

References

Mécaniciens, S. F. D. (1990). Guide de validation des progiciels de calcul des structures: SDLL 09: vibration d’une poutre élancée de section rectangulaire variable (encastrée-libre).

Tested in Diamonds 2024r01.

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